Research

My research lies at the intersection of Quantum Computing, Cryptography, and Secure Delegated Computing. My primary goal is to develop practical and resource-efficient protocols that enable secure quantum computation on remote quantum computers while preserving the privacy of users’ data, algorithms, and computation.


Research Interests

## Blind Quantum Computation Design and analysis of information-theoretically secure protocols that allow a client with limited quantum capabilities to delegate computations to a remote quantum server without revealing the computation or data.
## Quantum Cryptography Development of secure quantum communication protocols, quantum key distribution, delegated quantum computation, and privacy-preserving quantum protocols.
## Quantum Homomorphic Encryption Construction of encryption techniques that enable computation directly on encrypted quantum data while maintaining confidentiality throughout the computation.
## Quantum Algorithms Design and optimization of quantum algorithms with emphasis on Grover's Search Algorithm, Quantum Fourier Transform, and algorithms for practical quantum applications.
## Quantum Searchable Encryption Application of blind quantum computation techniques to searchable encryption, enabling secure cloud-based data retrieval with quantum speedup.
## NISQ Computing Performance analysis of quantum algorithms under realistic hardware constraints including noise models, connectivity limitations, and resource estimation.

Current Research

Secure Delegated Quantum Computing

My doctoral research focuses on designing universal protocols for secure delegated quantum computation using arbitrary rotation gates. The objective is to reduce computational and communication overhead while maintaining information-theoretic security.

Current directions include:


Research Contributions

Universal Blind Quantum Computation

Development of recursive techniques for implementing arbitrary rotation gates in blind quantum computation with significantly improved resource efficiency.


BlindTranspiler

Development of BlindTranspiler, an open-source software framework for converting standard Qiskit quantum circuits into blind quantum circuits supporting multiple secure delegated quantum computation protocols.

GitHub Repository Documentation

Research Timeline

Year Milestone
2022 Started Ph.D. at Banaras Hindu University
2022 First publication on Blind Quantum Computation
2024 Quantum Searchable Encryption and NISQ resource estimation
2025 Research on arbitrary rotation gates and encrypted quantum computation
2026 Universal Blind Quantum Computation and BlindTranspiler software

Research Collaborations

I am interested in collaborations in the following areas:

Researchers and students interested in collaboration are welcome to contact me.


Research Vision

Future fault-tolerant quantum computers will likely be accessed through cloud services. My long-term research vision is to make cloud quantum computing private, secure, and practical by developing efficient cryptographic protocols that protect users’ computations without sacrificing performance.

The combination of Blind Quantum Computation, Quantum Homomorphic Encryption, and Quantum Cryptography has the potential to become the foundation of secure quantum cloud computing.


Selected Publications

### Universal Blind Quantum Computation with Recursive Rotation Gates **Quantum Information Processing (2026)** Mohit Joshi, Manoj Kumar Mishra, S. Karthikeyan
### Quantum Computing on Encrypted Data with Arbitrary Rotation Gates **Physica Scripta (2026)** Mohit Joshi, Manoj Kumar Mishra, S. Karthikeyan
### Impact of Hardware Connectivity on Grover’s Algorithm in the NISQ Era **Quantum Information Processing (2025)** Mohit Joshi, Manoj Kumar Mishra, S. Karthikeyan
### Leveraging Grover’s Algorithm for Quantum Searchable Encryption in Cloud Infrastructure and its Application in AES Resource Estimation **International Journal of Theoretical Physics (2024)** Mohit Joshi, Manoj Kumar Mishra, S. Karthikeyan
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